Mensuration (Part-13)

Total Questions: 50

1. The ratio of the length to the width of a rectangle is 3 : 2. If the length of this rectangle is increased by 25% and its width is kept constant, then the area of the rectangle increases by 24 m² What is the width of this rectangle? [SSC MTS 22/07/2022 (Morning)]

Correct Answer: (c) 8 m
Solution:

2. If the ratio of an external angle and an internal angle of a regular polygon is 1 : 5, then what is the number of sides in the polygon? [SSC MTS 22/07/2022 (Afternoon)]

Correct Answer: (c) 12
Solution:

3. The area of a square is 1296cm² and the radius of a circle is 7/6 of the length of a side of the square. What is the ratio of the perimeter of the square and the circumference of the circle? (use π = 22/7) [SSC MTS 25/07/2022 (Morning)]

Correct Answer: (c) 6:11
Solution:

4. The length, the breadths, and the volumes of two cuboids are in the ratios of 4 : 5, 3 : 4 and 2 : 3 respectively. What is the ratio of their heights? [SSC MTS 25/07/2022 (Afternoon)]

Correct Answer: (b) 10 : 9
Solution:

5. The breadth of a rectangle is 4/5 of the radius of a circle. The radius of the circle is 1/5 of the side of a square, whose area is 625cm². What is the area of the rectangle if the length of rectangle is 20 cm ? [SSC MTS 25/07/2022 (Afternoon)]

Correct Answer: (d) 80 cm²
Solution:

6. The diameter of a circle is 7/4 times of the base of a triangle, and the height of the triangle is 14 cm. If the area of the triangle is 56cm², then what is the circumference (in m) of the circle - (use π = 22/7) [SSC MTS 26/07/2022 (Morning)]

Correct Answer: (a) 0.44 m
Solution:

7. A square of side p is taken. A rectangle is cut out from this square such that the length of one side of the rectangle is equal to half of the length of one side of the square and the length of another side of the rectangle is equal to 1/3 of the length of the first side of the rectangle.What is the area of the portion of the square that remained after the rectangle is cut out? [SSC MTS 26/07/2022 (Afternoon)]

Correct Answer: (c)
Solution:

8. The length of a rope, by which a calf is tied, is decreased from 9 m to 5 m. Find the decrease in the area that can be grazed by the calf. [use π = 22/7] [SSC MTS 26/07/2022 (Evening)]

Correct Answer: (d) 176 m²
Solution:

9. A pillar 11m in radius is 21m high. How much material (in m³) was used to construct it? [SSC CHSL 24/05/2022 (Morning)]

Correct Answer: (d) 7986
Solution:

10. A sphere passes through the eight corners of a cube of side 14 cm. Find the volume (in cm³) of the sphere. (π = 22/7) [SSC CHSL 25/05/2022 (Morning)]

Correct Answer: (a) 4312√3
Solution: